Developments in Obtaining Transient Response Using Fourier Transforms

Frequency Domain Aspects of Electromagnetic Transient Analysis of Power Systems

“…Expression (3.40a) is equivalent to [19] Figure 3.15(a). Its time domain image is given by the following expression and is plotted in Figure 3.15(b): The time-domain relation between y(t) and its approximation y 2 (t) is obtained by applying the convolution theorem to (3.41) to give…”

“…By observing that the Gibbs errors have an oscillation interval t Gibbs = /Ω M , one can see that an effective smoother is a sliding window of duration /Ω M -see The Lanczos window is a smoothing filter that applies pure averaging (or constant weight) along its aperture. Its frequency response is [19] …”

“…According to (3.48), direct sampling of its spectrum of u(t) results in an excessive aliasing error; that is, the value for approximation y 3 (t) turns out to be infinite. Let now the unit step be multiplied by a damping exponential [21]: …”

“…The one presented in [13] attention, although it still is at a very early stage of development. The technique described here originated in the early 1960s by the works of Mullineux et al [21,25,26]. It then evolved in the late 1960s through the work of Wedepohl et al [27][28][29][30].…”

Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

“…The harmonic domain matrix that relates to each other the incremental vectors and of the branch current and voltage: (15) is called HDAM (Harmonic Domain Admittance Matrix). In the case of a single-phase network element, the harmonic domain vectors , , , and take the form (4), , and .…”